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Finding the Fourth Proportional to 432,640.96, 648,249.76 and 148,174.64

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Solution

The fourth proportional to 432,640.96, 648,249.76 and 148,174.64 is: 222,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,640.96 : 648,249.76 = 148,174.64 : x
  2. Step 2: Convert to fraction form
    432,640.96/648,249.76 = 148,174.64/x
  3. Step 3: Cross multiply
    432,640.96x = 648,249.76 × 148,174.64
  4. Step 4: Simplify right side
    432,640.96x = 96,054,174,818.09
  5. Step 5: Solve for x
    x = 96,054,174,818.09/432,640.96
  6. Step 6: Final answer
    x = 222,018.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.